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Finding the Fourth Proportional to 369,978.50, 510,574.02 and 200,216.27

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Solution

The fourth proportional to 369,978.50, 510,574.02 and 200,216.27 is: 276,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,978.50 : 510,574.02 = 200,216.27 : x
  2. Step 2: Convert to fraction form
    369,978.50/510,574.02 = 200,216.27/x
  3. Step 3: Cross multiply
    369,978.50x = 510,574.02 × 200,216.27
  4. Step 4: Simplify right side
    369,978.50x = 102,225,225,843.31
  5. Step 5: Solve for x
    x = 102,225,225,843.31/369,978.50
  6. Step 6: Final answer
    x = 276,300.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.